Eisenhart lift and Randers-Finsler formulation for scalar field theory
arXiv:1905.06188 · doi:10.1140/epjp/s13360-020-01066-4
Abstract
We study scalar field theory as a generalization of point particle mechanics using the Polyakov action, and demonstrate how to extend Lorentzian and Riemannian Eisenhart lifts to the theory in a similar manner. Then we explore extension of the Randers-Finsler formulation and its principles to the Nambu-Goto action, and describe a Jacobi Lagrangian for it.
9 pages, Comments are most welcome